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Finding the Third Proportional to 153,054 and 333,216

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Solution

The third proportional to 153,054 and 333,216 is: 725,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,054 : 333,216 = 333,216 : x
  2. Step 2: Convert to fraction form
    153,054/333,216 = 333,216/x
  3. Step 3: Cross multiply
    153,054x = 333,216 × 333,216
  4. Step 4: Simplify right side
    153,054x = 111,032,902,656
  5. Step 5: Solve for x
    x = 111,032,902,656/153,054
  6. Step 6: Final answer
    x = 725,449.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.